#include "bits/stdc++.h" using namespace std; #define int unsigned long long random_device rd; mt19937 mt(rd()); int modpro(int x, int n, int md) {//log^2 n int res = 0; for (; n; n >>= 1) { if (n & 1)res =(res+x)%md; x = (x + x) % md; } return res; } int modpow(int x, int n, int md) {//log n int res = 1; for (; n; n >>= 1) { if (n & 1)res = modpro(res, x, md); x = modpro(x, x, md); } return res; } int gcd(int a, int b) { if (!b)return a; return gcd(b, a%b); } long long xqrl(int a, int n) { int res = 1; a %= n; if (a ==n-1)return pow(-1,(n - 1) >> 1); if (a == 2) { int k = n % 8; return pow(-1, (k*k - 1) / 8); } if (!(a & 1))return xqrl(2, n)*xqrl(a / 2, n); int A = (a - 1) % 16, N = (n - 1) % 16; return pow(-1, A*N / 4)*xqrl(n, a); } bool isprime(int p) { if (p == 2 || p == 3 || p == 5)return true; if (p == 1 || p == 4)return false; for(int z=0;z<11;++z) { int b = mt() % (p - 2) + 2; if (gcd(b, p) > 1) { return false; } if (modpow(b, (p - 1)>>1, p) !=(xqrl(b,p)+p)%p) { return false; } } return true; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); signed n; cin >> n; int p; int cnt = 0; for (int i = 0; i < n; i++) { cin >> p; cout << p; if (isprime(p))puts(" 1"); else puts(" 0"); } }